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Finding the Fourth Proportional to 658.32, 987.24 and 225.36

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Solution

The fourth proportional to 658.32, 987.24 and 225.36 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.32 : 987.24 = 225.36 : x
  2. Step 2: Convert to fraction form
    658.32/987.24 = 225.36/x
  3. Step 3: Cross multiply
    658.32x = 987.24 × 225.36
  4. Step 4: Simplify right side
    658.32x = 222,484.41
  5. Step 5: Solve for x
    x = 222,484.41/658.32
  6. Step 6: Final answer
    x = 337.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.